1. The problem statement, all variables and given/known data By considering different paths, show that the given function has no limit as (x,y) [itex]\rightarrow[/itex] (0,0). f(x,y) = x4/(x4 + y4) 2. Relevant equations 3. The attempt at a solution My instructor taught me this process a while back and am unsure if it fits for this problem: let y=mx2 limit as (x, mx2) [itex]\rightarrow[/itex] (0,0) of x4/(x4 + mx4) I tried this method seeing as letting x=0 yields limit = 0 and letting y = 0 yields limit = 1 ???